Is it possible to get a wide camera shot without warping?
In both the physical world and the computer modeled sense, yes.

While it is vastly more complex to achieve it with a physical camera, it is possible with precise optics. The term typically is referred to as rectilinear distortion when it is unintended. Unintended because some lens optics are designed to deliver a spherical image such as fisheyes, while others deliver cylindrically compressed imagery such as anamorphic.

In the case of your question, it is unclear whether you are referring to physical optics, which may suffer from rectilinear distortion, or computer generated work, which will only have perspectival distortion typically.

In the simplest of senses, the field of view is a byproduct of lens length with gate size.

So while it is tricky judging your desire from your question, you can achieve your goal from within Blender by adjusting your field of view and your gate / sensor dimensions.

Remember, optics are optics and a wider lens with a smaller gate size will exacerbate the perspectival vantage. Longer lenses will compress the perspectival components. To disable the perspectival aspect, you could also consider an orthographic camera.